Note, that we do multiply by height when we calculate the area of cylindrical body.

Let us draw graphics for this question. Here we have a cylinder:

We brake it down in parts when calculate the area:

The area of caps is calculated as the area of circles:

Each cap: 4² × π = 16π

Both caps: 32π (square inches)

The area of the body is calculated as the area of the rectangle:

8π × 10 = 80π (square inches)

Then we add the areas. 80π + 32π = 112π (square inches)

When we calculate area of a cube we break it down in squares:

We can see that there are 6 identical squares:

The area of each one is

*x*²

The area of all six is 6

*x*²

At last, we set the areas equal:

6

*x*² = 112π (square inches)

And find that approximation of

*x* to an integer is 8 (inches).